Answer:

Step-by-step explanation:
The required answer is the rate at which Machine A works when the two machines are combined.
Note: the rate of doing work is express as

Hence we can conclude that Machine A working rate is
and machine B working rate is

When the two machine works together, the effective working rate is

The fraction of the work that Machine B will not have complete because of Machine A help is the total work done by machine A
Hence the fraction of work done by A is expressed as


Hence the fraction of the work that Machine B will not have complete because of Machine A help is the total work done by machine A is 
Answer:
Domain: 
Range: ![(-\infty, 3]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%203%5D)
Decreases over: 
Step-by-step explanation:
Given
--- Missing from the question
Solving (a): The domain
To get the domain, the expression under the square root must not be negative.
In other words:

Solve for x


Hence, the domain is:

To get the range, we plot the values of the domain in the expression.











So, the range is: ![(-\infty, 3]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%203%5D)
To get the interval where the function increases or not, we simply plot the graph of f(x).
See attachment for graph.
From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.
This implies that, the graph decreases over the interval 
Answer:
180(.30)=54, 180-54=126, 126(0.075)=9.45+126=135.45
Step-by-step explanation:
The total is $135.45.
Answer:
<em>135k</em>
Step-by-step explanation:
<em>9k*8k=72k</em>
<em>9k*7=63k</em>
<em>72k+63k=135k</em>